Permutations an...

In how many ways can a garland be made from exactly 10 flowers?

The number of all three digit even numbers such that if 5 is one of the digits then next digit is 7 is

Out of 9 consonants and 5 vowels, how many words of 3 consonants and 3 vowels can be formed?

In how many ways can a mixed doubles tennis game be arranged from a group of 10 players consisting of 6 men and 4 women

If no husband and wife play in the same game, then the number of ways in which a mixed double game can be arranged from among nine married couples is

A lady arranges a dinner party for 6 guests .The number of ways in which they may be selected from among 10 friends if 2 of the friends will not attend the party together is

The maximum number of points at which 4 circles and 4 straight lines can intersect is

Out of his 20 friends, a person wishes to make up as many different groups as he can such that each group consists of the same number of persons. The number of friends he should invite at a time is

What is the number of arrangements that can be made using all the letters of the word 'LAUGH', keeping the vowels adjacent?

What will be the sum of all the numbers greater than 1000 formed by using the digits 1, 3, 5 and 7, such that no digit is being repeated in any number?

Everybody in a room shakes hand with every other person. The total number of handshakes is 66. Find the total number of persons in the room.

The sides AB, BC and CA of a triangle ABC have 3, 4 and 5 points lying on them, respectively. The number of triangles that can be constructed using these points as vertices is

In a function, 10 persons including A, B and C have to perform. If A has to perform before B and B has to perform before C, how many different ways are there to arrange the order of their performances?

On the occasion of Diwali, each student of a class sends greeting cards to every other. If there are 20 students in the class, then the total number of greeting cards exchanged by the students is

A basket contains 12 red, 10 black and 5 pink balls. 5 balls are drawn at random. The number of ways of drawing at least 2 black balls is

H.C.F. of n !, (n + 1) ! and (n + 2) ! is

The number of ways in which p + q things can be divided into two groups, containing p and q things respectively is

The number of all possible selections which a student can make for answering one or more questions out of eight given questions in a paper, where each question has one alternate option, is

The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 

How many words can be formed by taking four different letters of the word MATHEMATICS?

A coin is tossed n times, the number of all the possible outcomes is

If ⁿC_4, ⁿC₅ and ⁿC₆ are in A.P, then n is equal to

A cricket team of eleven is to be chosen from among 8 batsmen, 6 bowlers and 2 wicket-keepers. In how many ways can the team be chosen, if there must be at least four batsmen, at least four bowlers and exactly one wicket-keeper?

Eight chairs are numbered from 1 to 8. 2 women and 3 men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked from 1 to 4 and then, the men select the chairs from amongst the remaining. The number of possible arrangements is

The number of ways in which 5 beads of different colours form a necklace is